What is the Greatest Common Factor of 79898 and 79906?

Greatest common factor (GCF) of 79898 and 79906 is 2.

GCF(79898,79906) = 2

We will now calculate the prime factors of 79898 and 79906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79898 and 79906.

How to find the GCF of 79898 and 79906?

We will first find the prime factorization of 79898 and 79906. After we will calculate the factors of 79898 and 79906 and find the biggest common factor number .

Step-1: Prime Factorization of 79898

Prime factors of 79898 are 2, 7, 13, 439. Prime factorization of 79898 in exponential form is:

79898 = 2¹ × 7¹ × 13¹ × 439¹

Step-2: Prime Factorization of 79906

Prime factors of 79906 are 2, 39953. Prime factorization of 79906 in exponential form is:

79906 = 2¹ × 39953¹

Step-3: Factors of 79898

List of positive integer factors of 79898 that divides 79898 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 439, 878, 3073, 5707, 6146, 11414, 39949

Step-4: Factors of 79906

List of positive integer factors of 79906 that divides 79898 without a remainder.

1, 2, 39953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79898 and 79906. The biggest common factor number is the GCF number.
So the greatest common factor 79898 and 79906 is 2.

Also check out the Least Common Multiple of 79898 and 79906